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Finding the Fourth Proportional to 340,702.88, 511,078.93 and 138,201.73

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Solution

The fourth proportional to 340,702.88, 511,078.93 and 138,201.73 is: 207,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,702.88 : 511,078.93 = 138,201.73 : x
  2. Step 2: Convert to fraction form
    340,702.88/511,078.93 = 138,201.73/x
  3. Step 3: Cross multiply
    340,702.88x = 511,078.93 × 138,201.73
  4. Step 4: Simplify right side
    340,702.88x = 70,631,990,669.35
  5. Step 5: Solve for x
    x = 70,631,990,669.35/340,702.88
  6. Step 6: Final answer
    x = 207,312.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.